SOLUTION: how do I simplify this and give restrictions? 2x^2 + 7x -15 ----------- - x^2 + x

SOLUTION: how do I simplify this and give restrictions? 2x^2 + 7x -15 ----------- - x^2 + x - 20

Question 82035This question is from textbook Algebra 1 an integraded approach
: how do I simplify this and give restrictions?
2x^2 + 7x -15
-------------
x^2 + x - 20 This question is from textbook Algebra 1 an integraded approach

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you need help with factoring take a look at this solver
Start with the given problem

Factor the numerator

ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.

Error occurred executing solver 'quadratic_factoring' .

Factor the denominator

ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.

Error occurred executing solver 'quadratic_factoring' .

So after factoring we have

Cancel like terms

Simplify. This is the simplified form.

Now in order for the expression
to be equivalent to

We need to find the restrictions. So we need to set the denominators equal to zero:
or
or

So the restrictions are that x cannot equal 4 or -5. Notice if we plug in x=4 into the original equation we get

which is not possible

the same applies to x=-5

which is also not possible
RELATED QUESTIONS
I need to simplify this expression to the simplest form.... (answered by math-vortex)

How do i simplify the rational expression x^2+7x+12 /... (answered by Nate)

Simplify each of the following and state any restrictions on the variable.... (answered by Alan3354)

Simplify each of the following and state any restrictions on the variable. (4x+1)/(3x-5) (answered by Boreal)

How do I simplify... (answered by Earlsdon)

How do I simplify this expression? X^2-16 divided by... (answered by Edwin McCravy)

X^2-16 divided by x^2-7x+12 How do I simplify this (answered by Theo)

how do i solve this? x-2/2 = m + n...look for any restrictions and what is a... (answered by Alan3354)

How do I simplify this? 2x^2-32 __________ =... (answered by ankor@dixie-net.com)